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Fundamental scale invariance
Nuclear Physics B ( IF 2.8 ) Pub Date : 2021-02-03 , DOI: 10.1016/j.nuclphysb.2021.115326
C. Wetterich

We propose fundamental scale invariance as a new theoretical principle beyond renormalizability. Quantum field theories with fundamental scale invariance admit a scale-free formulation of the functional integral and effective action in terms of scale invariant fields. They correspond to exact scaling solutions of functional renormalization flow equations. Such theories are highly predictive since all relevant parameters for deviations from the exact scaling solution vanish. Realistic particle physics and quantum gravity are compatible with this setting. The non-linear restrictions for scaling solutions can explain properties as an asymptotically vanishing cosmological constant or dynamical dark energy that would seem to need fine tuning of parameters from a perturbative viewpoint. As an example we discuss a pregeometry based on a diffeomorphism invariant Yang-Mills theory. It is a candidate for an ultraviolet completion of quantum gravity with a well behaved graviton propagator at short distances.



中文翻译:

基本尺度不变

我们提出基本尺度不变性是超越可归一化性的新理论原理。具有基本尺度不变性的量子场理论接受尺度不变场的无积分形式的功能积分和有效作用。它们对应于功能重整化流量方程的精确比例解。由于与精确缩放解决方案的偏差的所有相关参数都消失了,因此这些理论具有很高的预测性。现实的粒子物理学和量子引力与此设置兼容。缩放解决方案的非线性限制可以将属性解释为渐近消失的宇宙学常数或动态暗能量,从扰动的角度看,它们似乎需要对参数进行微调。作为示例,我们讨论基于微分不变不变式Yang-Mills理论的预几何。它是用短距离行为良好的引力子传播器完成量子引力的紫外线的一种选择。

更新日期:2021-02-03
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